%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP478-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DCPsYboR99 true
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:36:31 PM UTC 2025
% Result : Unsatisfiable 7.60s 1.75s
% Output : Refutation 7.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP478-1 : TPTP v9.2.0. Released v2.6.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DCPsYboR99 true
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 14:05:08 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.52/0.64 % Total configuration time : 435
% 0.52/0.64 % Estimated wc time : 1092
% 0.52/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 7.60/1.75 % Solved by fo/fo7.sh.
% 7.60/1.75 % done 156 iterations in 0.967s
% 7.60/1.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.60/1.75 % SZS output start Refutation
% 7.60/1.75 thf(a1_type, type, a1: $i).
% 7.60/1.75 thf(multiply_type, type, multiply: $i > $i > $i).
% 7.60/1.75 thf(inverse_type, type, inverse: $i > $i).
% 7.60/1.75 thf(divide_type, type, divide: $i > $i > $i).
% 7.60/1.75 thf(b1_type, type, b1: $i).
% 7.60/1.75 thf(single_axiom, axiom,
% 7.60/1.75 (( divide @
% 7.60/1.75 ( inverse @
% 7.60/1.75 ( divide @
% 7.60/1.75 ( divide @ ( divide @ A @ A ) @ B ) @
% 7.60/1.75 ( divide @ C @ ( divide @ B @ D ) ) ) ) @
% 7.60/1.75 D ) =
% 7.60/1.75 ( C ))).
% 7.60/1.75 thf(zip_derived_cl0, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 7.60/1.75 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 7.60/1.75 X3) = (X0))),
% 7.60/1.75 inference('cnf', [status(esa)], [single_axiom])).
% 7.60/1.75 thf(zip_derived_cl0, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 7.60/1.75 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 7.60/1.75 X3) = (X0))),
% 7.60/1.75 inference('cnf', [status(esa)], [single_axiom])).
% 7.60/1.75 thf(zip_derived_cl5, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X5 @ X5) @ X2) @ X0)) @ X1)
% 7.60/1.75 = (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 7.60/1.75 (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.60/1.75 thf(zip_derived_cl0, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 7.60/1.75 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 7.60/1.75 X3) = (X0))),
% 7.60/1.75 inference('cnf', [status(esa)], [single_axiom])).
% 7.60/1.75 thf(zip_derived_cl0, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 7.60/1.75 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 7.60/1.75 X3) = (X0))),
% 7.60/1.75 inference('cnf', [status(esa)], [single_axiom])).
% 7.60/1.75 thf(zip_derived_cl4, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @
% 7.60/1.75 (divide @ (divide @ X5 @ X5) @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 7.60/1.75 (divide @ X0 @ (divide @ X3 @ X2))))) @
% 7.60/1.75 (divide @ X1 @ X0))) @
% 7.60/1.75 X2) = (X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.60/1.75 thf(zip_derived_cl32, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.60/1.75 ((inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X6 @ X6) @ X4) @
% 7.60/1.75 (divide @ (divide @ X5 @ X2) @
% 7.60/1.75 (divide @ X4 @
% 7.60/1.75 (divide @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X3 @ X3) @ X1) @
% 7.60/1.75 (divide @ X2 @ (divide @ X1 @ X0)))) @
% 7.60/1.75 X0)))))
% 7.60/1.75 = (X5))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 7.60/1.75 thf(zip_derived_cl0, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 7.60/1.75 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 7.60/1.75 X3) = (X0))),
% 7.60/1.75 inference('cnf', [status(esa)], [single_axiom])).
% 7.60/1.75 thf(zip_derived_cl46, plain,
% 7.60/1.75 (![X2 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.60/1.75 ((inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X6 @ X6) @ X4) @
% 7.60/1.75 (divide @ (divide @ X5 @ X2) @ (divide @ X4 @ X2))))
% 7.60/1.75 = (X5))),
% 7.60/1.75 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 7.60/1.75 thf(zip_derived_cl5, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X5 @ X5) @ X2) @ X0)) @ X1)
% 7.60/1.75 = (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 7.60/1.75 (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.60/1.75 thf(zip_derived_cl0, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 7.60/1.75 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 7.60/1.75 X3) = (X0))),
% 7.60/1.75 inference('cnf', [status(esa)], [single_axiom])).
% 7.60/1.75 thf(zip_derived_cl20, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (divide @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 7.60/1.75 (divide @ X2 @ X0)) = (X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 7.60/1.75 thf(zip_derived_cl72, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.60/1.75 ((divide @ (divide @ X0 @ X3) @ (divide @ X2 @ X3))
% 7.60/1.75 = (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl20])).
% 7.60/1.75 thf(zip_derived_cl20, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (divide @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 7.60/1.75 (divide @ X2 @ X0)) = (X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 7.60/1.75 thf(zip_derived_cl115, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (divide @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X2 @ X2) @ X0) @ (divide @ X1 @ X0))) @
% 7.60/1.75 X4) @
% 7.60/1.75 (divide @ X3 @ X4)) = (divide @ X1 @ X3))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl20])).
% 7.60/1.75 thf(zip_derived_cl20, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (divide @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 7.60/1.75 (divide @ X2 @ X0)) = (X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 7.60/1.75 thf(zip_derived_cl20, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (divide @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 7.60/1.75 (divide @ X2 @ X0)) = (X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 7.60/1.75 thf(zip_derived_cl60, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.60/1.75 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 7.60/1.75 (divide @
% 7.60/1.75 (divide @ X3 @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 7.60/1.75 X2))
% 7.60/1.75 = (X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 7.60/1.75 thf(zip_derived_cl838, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.60/1.75 ((divide @ X4 @
% 7.60/1.75 (divide @ X2 @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X3 @ X3) @ X2) @
% 7.60/1.75 (divide @ (divide @ X1 @ X1) @ X0)))))
% 7.60/1.75 = (divide @ X4 @ X0))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl60])).
% 7.60/1.75 thf(zip_derived_cl60, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.60/1.75 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 7.60/1.75 (divide @
% 7.60/1.75 (divide @ X3 @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 7.60/1.75 X2))
% 7.60/1.75 = (X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 7.60/1.75 thf(zip_derived_cl926, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.60/1.75 ((divide @ (divide @ (inverse @ (divide @ X1 @ X0)) @ X5) @
% 7.60/1.75 (divide @
% 7.60/1.75 (divide @ X6 @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X7 @ X7) @ X6) @ X1))) @
% 7.60/1.75 X5))
% 7.60/1.75 = (divide @ X3 @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 7.60/1.75 (divide @ (divide @ X2 @ X2) @ X0)))))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl838, zip_derived_cl60])).
% 7.60/1.75 thf(zip_derived_cl60, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.60/1.75 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 7.60/1.75 (divide @
% 7.60/1.75 (divide @ X3 @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 7.60/1.75 X2))
% 7.60/1.75 = (X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 7.60/1.75 thf(zip_derived_cl1058, plain,
% 7.60/1.75 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.60/1.75 ((X0)
% 7.60/1.75 = (divide @ X3 @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 7.60/1.75 (divide @ (divide @ X2 @ X2) @ X0)))))),
% 7.60/1.75 inference('demod', [status(thm)], [zip_derived_cl926, zip_derived_cl60])).
% 7.60/1.75 thf(zip_derived_cl4, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @
% 7.60/1.75 (divide @ (divide @ X5 @ X5) @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 7.60/1.75 (divide @ X0 @ (divide @ X3 @ X2))))) @
% 7.60/1.75 (divide @ X1 @ X0))) @
% 7.60/1.75 X2) = (X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.60/1.75 thf(zip_derived_cl1161, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X1 @ X1) @ X0) @
% 7.60/1.75 (divide @ X2 @ (divide @ X3 @ X3)))) @
% 7.60/1.75 X0) = (X2))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl1058, zip_derived_cl4])).
% 7.60/1.75 thf(zip_derived_cl115, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.60/1.75 ((divide @
% 7.60/1.75 (divide @
% 7.60/1.75 (inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X2 @ X2) @ X0) @ (divide @ X1 @ X0))) @
% 7.60/1.75 X4) @
% 7.60/1.75 (divide @ X3 @ X4)) = (divide @ X1 @ X3))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl20])).
% 7.60/1.75 thf(zip_derived_cl1244, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.60/1.75 ((divide @ X0 @ (divide @ X1 @ (divide @ X2 @ X2)))
% 7.60/1.75 = (divide @ X0 @ X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl1161, zip_derived_cl115])).
% 7.60/1.75 thf(zip_derived_cl60, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.60/1.75 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 7.60/1.75 (divide @
% 7.60/1.75 (divide @ X3 @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 7.60/1.75 X2))
% 7.60/1.75 = (X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 7.60/1.75 thf(zip_derived_cl1311, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.60/1.75 ((divide @ (divide @ (inverse @ (divide @ X1 @ X0)) @ X3) @
% 7.60/1.75 (divide @
% 7.60/1.75 (divide @ X4 @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X5 @ X5) @ X4) @ X1))) @
% 7.60/1.75 X3))
% 7.60/1.75 = (divide @ X0 @ (divide @ X2 @ X2)))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl1244, zip_derived_cl60])).
% 7.60/1.75 thf(zip_derived_cl60, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.60/1.75 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 7.60/1.75 (divide @
% 7.60/1.75 (divide @ X3 @
% 7.60/1.75 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 7.60/1.75 X2))
% 7.60/1.75 = (X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 7.60/1.75 thf(zip_derived_cl1437, plain,
% 7.60/1.75 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 7.60/1.75 inference('demod', [status(thm)], [zip_derived_cl1311, zip_derived_cl60])).
% 7.60/1.75 thf(zip_derived_cl1437, plain,
% 7.60/1.75 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 7.60/1.75 inference('demod', [status(thm)], [zip_derived_cl1311, zip_derived_cl60])).
% 7.60/1.75 thf(zip_derived_cl46, plain,
% 7.60/1.75 (![X2 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.60/1.75 ((inverse @
% 7.60/1.75 (divide @ (divide @ (divide @ X6 @ X6) @ X4) @
% 7.60/1.75 (divide @ (divide @ X5 @ X2) @ (divide @ X4 @ X2))))
% 7.60/1.75 = (X5))),
% 7.60/1.75 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 7.60/1.75 thf(zip_derived_cl1574, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i]:
% 7.60/1.75 ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl1437, zip_derived_cl46])).
% 7.60/1.75 thf(zip_derived_cl1665, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i]:
% 7.60/1.75 ((inverse @ (divide @ X0 @ X0)) = (divide @ X1 @ X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl1437, zip_derived_cl1574])).
% 7.60/1.75 thf(prove_these_axioms_1, conjecture,
% 7.60/1.75 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 7.60/1.75 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 7.60/1.75 thf(zf_stmt_0, negated_conjecture,
% 7.60/1.75 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 7.60/1.75 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 7.60/1.75 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 7.60/1.75 thf(zip_derived_cl2, plain,
% 7.60/1.75 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 7.60/1.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.60/1.75 thf(multiply, axiom,
% 7.60/1.75 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 7.60/1.75 thf(zip_derived_cl1, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i]:
% 7.60/1.75 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 7.60/1.75 inference('cnf', [status(esa)], [multiply])).
% 7.60/1.75 thf(zip_derived_cl1, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i]:
% 7.60/1.75 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 7.60/1.75 inference('cnf', [status(esa)], [multiply])).
% 7.60/1.75 thf(zip_derived_cl3, plain,
% 7.60/1.75 (((divide @ (inverse @ a1) @ (inverse @ a1))
% 7.60/1.75 != (divide @ (inverse @ b1) @ (inverse @ b1)))),
% 7.60/1.75 inference('demod', [status(thm)],
% 7.60/1.75 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 7.60/1.75 thf(zip_derived_cl1796, plain,
% 7.60/1.75 (![X0 : $i]:
% 7.60/1.75 ((divide @ (inverse @ a1) @ (inverse @ a1))
% 7.60/1.75 != (inverse @ (divide @ X0 @ X0)))),
% 7.60/1.75 inference('sup-', [status(thm)], [zip_derived_cl1665, zip_derived_cl3])).
% 7.60/1.75 thf(zip_derived_cl1665, plain,
% 7.60/1.75 (![X0 : $i, X1 : $i]:
% 7.60/1.75 ((inverse @ (divide @ X0 @ X0)) = (divide @ X1 @ X1))),
% 7.60/1.75 inference('sup+', [status(thm)], [zip_derived_cl1437, zip_derived_cl1574])).
% 7.60/1.75 thf(zip_derived_cl1833, plain, ($false),
% 7.60/1.75 inference('simplify_reflect+', [status(thm)],
% 7.60/1.75 [zip_derived_cl1796, zip_derived_cl1665])).
% 7.60/1.75
% 7.60/1.75 % SZS output end Refutation
% 7.60/1.75
% 7.60/1.75
% 7.60/1.76 % Terminating...
% 8.21/1.93 % Runner terminated.
% 8.21/1.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------